Words that start with 'i' and contain 'qu'

How many characters does the longest word from this list consist of?
The biggest word you can derive from this list is 'inconsequentiality', and it has 18 characters.

Is there a word from this page which could be thought of as unusual?
The most interesting word from this list is 'iniquitous'. 'Iniquitous' is defined as "Characterized by iniquity; unjust; wicked; as, an iniquitous bargain; an iniquitous proceeding. Demagogues . . . Bribed to this iniquitous service. Burke. Syn. -- Wicked; wrong; unjust; unrighteous; nefarious; criminal. -- Iniquitous, wicked, nefarious. Wicked is the generic term. Iniquitous is stronger, denoting a violation of the rights of others,...", according to the dictionary.

How many actual words can you put together using the specified combination?
You can pick from up to 155 words that cover all variations.

What's the best score you can get in Scrabble from this list of words starting with 'i' that contain 'qu'?
As there are a considerable 155 entries, your best option is to choose 'icequake' scoring 23 points.

Is there a word on this page that jumps out as the most popular?
The most popular word is 'inquired', which is actually the 2750^th most popular word in the dictionary.